API

Overview The Sepal Solver API provides a collection of methods to solve different classes of mathematical problems. These methods are designed to be modular, efficient, and easy to integrate into external applications.

## Purpose

The math.cs class is the core mathematical library of the Sepal Solver. It provides a wide range of numerical, algebraic, statistical, and analytical methods designed to support problem-solving across linear algebra, calculus, optimization, special functions, random number generation, and polynomial analysis.

This class acts as the foundation for computational tasks, enabling developers and researchers to perform both basic operations (like matrix manipulation and trigonometric functions) and advanced computations (like solving differential equations, optimization problems, and evaluating special functions).

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## 🔑 Key Capabilities

  • Matrix & Vector Operations: Creation, manipulation, and transformation of arrays, including dense and sparse formats.

  • Numerical Methods: Integration, differentiation, interpolation, and numerical solvers for equations and systems.

  • Optimization & Root Finding: Linear programming, nonlinear optimization, genetic algorithms, and equation solvers.

  • Polynomial Tools: Fitting, root finding, convolution, and deconvolution.

  • Special Functions: Comprehensive support for Bessel, Gamma, Legendre, Chebyshev, Hermite, and other advanced functions.

  • Random Number Generation: Uniform, normal, t-distribution, and sequence generators.

  • Transform Methods: Fourier and Laplace transforms for signal and system analysis.

  • Differential Equation Solvers: Multiple ODE solvers with varying accuracy and stability options.

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## 📂 Categories of Methods